138432000
138,432,000 is an even composite number composed of five prime numbers multiplied together.
138432000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred twenty divisors.
Prime factorization of 138432000:
29 × 3 × 53 × 7 × 103
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 7 × 103)See below for interesting mathematical facts about the number 138432000 from the Numbermatics database.
Names of 138432000
- Cardinal: 138432000 can be written as One hundred thirty-eight million, four hundred thirty-two thousand.
Scientific notation
- Scientific notation: 1.38432 × 108
Factors of 138432000
Divisors of 138432000
- Number of divisors d(n): 320
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 32 35 40 42 48 50 56 60 64 70 75 80 84 96 100 103 105 112 120 125 128 140 150 160 168 175 192 200 206 210 224 240 250 256 280 300 309 320 336 350 375 384 400 412 420 448 480 500 512 515 525 560 600 618 640 672 700 721 750 768 800 824 840 875 896 960 1000 1030 1050 1120 1200 1236 1280 1344 1400 1442 1500 1536 1545 1600 1648 1680 1750 1792 1920 2000 2060 2100 2163 2240 2400 2472 2560 2575 2625 2688 2800 2884 3000 3090 3200 3296 3360 3500 3584 3605 3840 4000 4120 4200 4326 4480 4800 4944 5150 5250 5376 5600 5768 6000 6180 6400 6592 6720 7000 7210 7680 7725 8000 8240 8400 8652 8960 9600 9888 10300 10500 10752 10815 11200 11536 12000 12360 12800 12875 13184 13440 14000 14420 15450 16000 16480 16800 17304 17920 18025 19200 19776 20600 21000 21630 22400 23072 24000 24720 25750 26368 26880 28000 28840 30900 32000 32960 33600 34608 36050 38400 38625 39552 41200 42000 43260 44800 46144 48000 49440 51500 52736 53760 54075 56000 57680 61800 64000 65920 67200 69216 72100 77250 79104 82400 84000 86520 89600 90125 92288 96000 98880 103000 108150 112000 115360 123600 131840 134400 138432 144200 154500 158208 164800 168000 173040 180250 184576 192000 197760 206000 216300 224000 230720 247200 263680 268800 270375 276864 288400 309000 329600 336000 346080 360500 369152 395520 412000 432600 448000 461440 494400 540750 553728 576800 618000 659200 672000 692160 721000 791040 824000 865200 922880 988800 1081500 1107456 1153600 1236000 1318400 1344000 1384320 1442000 1648000 1730400 1845760 1977600 2163000 2307200 2472000 2768640 2884000 3296000 3460800 3955200 4326000 4614400 4944000 5537280 5768000 6592000 6921600 8652000 9228800 9888000 11536000 13843200 17304000 19776000 23072000 27686400 34608000 46144000 69216000 138432000
- Sum of all divisors σ(n): 531108864
- Sum of proper divisors (its aliquot sum) s(n): 392676864
- 138432000 is an abundant number, because the sum of its proper divisors (392676864) is greater than itself. Its abundance is 254244864
Bases of 138432000
- Binary: 10000100000001001110000000002
- Hexadecimal: 0x8404E00
- Base-36: 2AF2TC
Squares and roots of 138432000
- 138432000 squared (1384320002) is 19163418624000000
- 138432000 cubed (1384320003) is 2652830366957568000000000
-
The
square root of 138432000 is 11765.7128980781 -
The
cube root of 138432000 is 517.3035965005
Scales and comparisons
How big is 138432000?- 138,432,000 seconds is equal to 4 years, 20 weeks, 6 days, 5 hours, 20 minutes.
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To count from 1 to 138,432,000 would take you about six years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 138432000 cubic inches would be around 43.1 feet tall.
Recreational maths with 138432000
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